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1304731368 = 2333171918701
BaseRepresentation
bin100110111000100…
…1001111011101000
310100221002012222000
41031301021323220
510133002400433
6333244531000
744222014353
oct11561117350
93327065860
101304731368
1160a539a96
12304b50a60
1317a4036c5
14c53d329a
1579827113
hex4dc49ee8

1304731368 has 128 divisors (see below), whose sum is σ = 4039632000. Its totient is φ = 387763200.

The previous prime is 1304731339. The next prime is 1304731391. The reversal of 1304731368 is 8631374031.

1304731368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60418 + ... + 79118.

It is an arithmetic number, because the mean of its divisors is an integer number (31559625).

Almost surely, 21304731368 is an apocalyptic number.

1304731368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304731368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019816000).

1304731368 is an abundant number, since it is smaller than the sum of its proper divisors (2734900632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1304731368 is a wasteful number, since it uses less digits than its factorization.

1304731368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18752 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1304731368 is about 36121.0654327914. The cubic root of 1304731368 is about 1092.7153265091.

It can be divided in two parts, 130473 and 1368, that added together give a triangular number (131841 = T513).

The spelling of 1304731368 in words is "one billion, three hundred four million, seven hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17442 18701 23256 34884 37402 56103 69768 74804 112206 149608 168309 224412 317917 336618 355319 448824 504927 635834 673236 710638 953751 1009854 1065957 1271668 1346472 1421276 1907502 2019708 2131914 2543336 2842552 2861253 3197871 3815004 4039416 4263828 5722506 6040423 6395742 7630008 8527656 8583759 9593613 11445012 12080846 12791484 17167518 18121269 19187226 22890024 24161692 25582968 34335036 36242538 38374452 48323384 54363807 68670072 72485076 76748904 108727614 144970152 163091421 217455228 326182842 434910456 652365684 1304731368